A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient...
47 KB (6,809 words) - 21:57, 19 November 2024
matrix multiplication is such a central operation in many numerical algorithms, much work has been invested in making matrix multiplication algorithms efficient...
38 KB (4,361 words) - 10:04, 12 November 2024
Booth's multiplication algorithm is a multiplication algorithm that multiplies two signed binary numbers in two's complement notation. The algorithm was invented...
12 KB (1,669 words) - 18:15, 28 March 2024
The Karatsuba algorithm is a fast multiplication algorithm. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. It is a divide-and-conquer...
13 KB (2,044 words) - 21:24, 21 July 2024
The Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers, published by Arnold Schönhage and Volker Strassen...
26 KB (4,580 words) - 17:26, 26 October 2024
Unsolved problem in computer science: What is the fastest algorithm for matrix multiplication? (more unsolved problems in computer science) In theoretical...
34 KB (4,211 words) - 06:37, 12 November 2024
Egyptian multiplication (also known as Egyptian multiplication, Ethiopian multiplication, Russian multiplication, or peasant multiplication), one of two...
13 KB (1,380 words) - 13:49, 28 October 2024
peasant multiplication algorithm, does not. The example below illustrates "long multiplication" (the "standard algorithm", "grade-school multiplication"):...
49 KB (6,328 words) - 14:46, 18 November 2024
Strassen algorithm, named after Volker Strassen, is an algorithm for matrix multiplication. It is faster than the standard matrix multiplication algorithm for...
24 KB (3,393 words) - 11:32, 6 December 2023
introduced the new algorithm with its low complexity, and Stephen Cook, who cleaned the description of it, is a multiplication algorithm for large integers...
22 KB (3,101 words) - 06:38, 12 November 2024
Newton–Raphson and Goldschmidt algorithms fall into this category. Variants of these algorithms allow using fast multiplication algorithms. It results that, for...
39 KB (5,530 words) - 16:52, 18 September 2024
Schönhage–Strassen algorithm: an asymptotically fast multiplication algorithm for large integers Toom–Cook multiplication: (Toom3) a multiplication algorithm for large...
71 KB (7,829 words) - 19:14, 31 October 2024
Montgomery. Montgomery modular multiplication relies on a special representation of numbers called Montgomery form. The algorithm uses the Montgomery forms...
28 KB (3,847 words) - 07:52, 4 May 2024
N)^{2}(\log \log N)\right)} utilizing the asymptotically fastest multiplication algorithm currently known due to Harvey and Van Der Hoven, thus demonstrating...
40 KB (5,832 words) - 14:59, 11 November 2024
linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns...
41 KB (6,581 words) - 08:08, 13 October 2024
Binary multiplier (redirect from Multiplication ALU)
pattern; or some combination. Booth's multiplication algorithm Fused multiply–add Dadda multiplier Wallace tree BKM algorithm for complex logarithms and exponentials...
18 KB (2,372 words) - 09:46, 29 September 2024
Fast Fourier transform (redirect from FFT algorithm)
Odlyzko–Schönhage algorithm applies the FFT to finite Dirichlet series Schönhage–Strassen algorithm – asymptotically fast multiplication algorithm for large integers...
64 KB (7,525 words) - 20:29, 17 November 2024
Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally...
10 KB (1,364 words) - 01:52, 2 June 2024
methods devised by Trachtenberg. Some of the algorithms Trachtenberg developed are ones for general multiplication, division and addition. Also, the Trachtenberg...
27 KB (6,475 words) - 21:19, 20 October 2024
Computational complexity of mathematical operations (category Computer arithmetic algorithms)
variety of multiplication algorithms, M ( n ) {\displaystyle M(n)} below stands in for the complexity of the chosen multiplication algorithm. This table...
26 KB (1,576 words) - 06:33, 12 November 2024
arithmetic algorithms for addition, subtraction, multiplication, and division are described. For example, through the standard addition algorithm, the sum...
8 KB (967 words) - 08:38, 12 November 2024
Elliptic curve scalar multiplication is the operation of successively adding a point along an elliptic curve to itself repeatedly. It is used in elliptic...
30 KB (4,086 words) - 15:38, 27 March 2024
modular multiplicative inverse of b modulo a. Similarly, the polynomial extended Euclidean algorithm allows one to compute the multiplicative inverse...
28 KB (4,467 words) - 21:35, 3 November 2024
of doing the multiplication: group it the way that yields the lowest total cost, and do the same for each factor. However, this algorithm has exponential...
18 KB (2,663 words) - 20:36, 2 August 2024
Two's complement (section Multiplication)
efficient algorithms actually implemented in computers. Some multiplication algorithms are designed for two's complement, notably Booth's multiplication algorithm...
43 KB (5,450 words) - 04:58, 2 November 2024
Freivalds' algorithm (named after Rūsiņš Mārtiņš Freivalds) is a probabilistic randomized algorithm used to verify matrix multiplication. Given three...
8 KB (1,439 words) - 10:13, 12 November 2024
Greatest common divisor (category Multiplicative functions)
same complexity as the multiplication. However, if a fast multiplication algorithm is used, one may modify the Euclidean algorithm for improving the complexity...
36 KB (4,717 words) - 01:50, 17 November 2024
is not efficient, faster algorithms are known, matching to within a constant factor the time for fast multiplication algorithms for numbers with the same...
70 KB (8,419 words) - 18:56, 12 November 2024
In computer science, Cannon's algorithm is a distributed algorithm for matrix multiplication for two-dimensional meshes first described in 1969 by Lynn...
6 KB (844 words) - 10:40, 7 November 2023
Finite field arithmetic (section Multiplication)
2 modulo 5. Division is multiplication by the inverse modulo p, which may be computed using the extended Euclidean algorithm. A particular case is GF(2)...
24 KB (2,791 words) - 12:43, 25 October 2024